Answer: Three quarters (30 ml) is made up of a 36% acid solution.
Step-by-step explanation:
Since we have given that
Total amount of solution = 40 ml
One- quarter of the solution is given by
[tex]\frac{1}{4}\times 40\ ml\\\\=10\ ml[/tex]
Three-quarter of the solution is given by
[tex]\frac{3}{4}\times 40\\\\=30\ ml[/tex]
According to question, we have
10 ml of solution is made up of = 20% of acid solution
30 ml of solution is made up of = say 'c ' of acid solution
40 ml of solution is made up of = 32 % of acid solution
So, our equation becomes,
[tex]10\times 0.2+30\times c=40\times 0.32\\\\2+30c=12.8\\\\30c=12.8-2\\\\30c=10.8\\\\c=\frac{10.8}{30}\\\\c=0.36\\\\c=36\%[/tex]
Hence, three quarters (30 ml) is made up of a 36% acid solution.
